106502225664 has 72 divisors (see below), whose sum is σ = 283948817152. Its totient is φ = 35438423040.

The previous prime is 106502225657. The next prime is 106502225707. The reversal of 106502225664 is 466522205601.

It is a super-2 number, since 2×106502225664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317097 + ... + 559959.

Almost surely, 2^106502225664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106502225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141974408576).

106502225664 is an abundant number, since it is smaller than the sum of its proper divisors (177446591488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106502225664 is an equidigital number, since it uses as much as digits as its factorization.

106502225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243453 (or 243439 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 106502225664 in words is "one hundred six billion, five hundred two million, two hundred twenty-five thousand, six hundred sixty-four".